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Finding the Fourth Proportional to 5,979.84, 8,255.97 and 4,405.20

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Solution

The fourth proportional to 5,979.84, 8,255.97 and 4,405.20 is: 6,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.84 : 8,255.97 = 4,405.20 : x
  2. Step 2: Convert to fraction form
    5,979.84/8,255.97 = 4,405.20/x
  3. Step 3: Cross multiply
    5,979.84x = 8,255.97 × 4,405.20
  4. Step 4: Simplify right side
    5,979.84x = 36,369,199.04
  5. Step 5: Solve for x
    x = 36,369,199.04/5,979.84
  6. Step 6: Final answer
    x = 6,081.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.